The discriminant of a quadratic equation is calculated through the equation,
D = b² - 4ac
In the given above, a = 5, b = -4, and c = 3. Substituting these values to the equation,
D = (-4)² - 4(5)(3) = -44
Since the discriminant is negative, the roots are non-real.
Answer:
See attachment
Step-by-step explanation:
To graph

You first graph the boundary line

This is a dashed line going through the origin with slope 1/4.
We test the point (0,1) to get: 1<0 which is false. So we shade the lower half-plane.
To graph

We first graph line

By plotting (0,6), and (1,0)
We draw a dashed boundary line.
We test the origin:
0<6 which is true so we shade the left half-plane .
The intersection of both shaded regions represent the solution set.
The graph us shown in attachment.
Step-by-step explanation:
m<5 = 60 (<5 & 60deg < are vertical)
m<6 = 120 (<s 5 and 6 are a linear pair)
m<9 = 120 (<s 6 and 9 are vertical)
m<4 = 80 (<s 4 and 80 deg < are vertical)
m<7 = 100 (<7 and 80 deg < are linear pair)
m<10 = 100 (<s 7 and 10 are vertical <s)
m<8 = 60 (<s 5 and 8 are corresp <s)
m<3 = 80 (80 deg <3 are corresp <s)
m<2 = 40 (80 + 60 + m<2 = 180)
m<1 = 60 (<s 1 & 5 are alt int <s)
Answer:
The equation in point slope form is 
The equation in slope intercept form is 
Step-by-step explanation:
step 1
Find the slope m
The formula to calculate the slope between two points is equal to

we have

Substitute the values


simplify

step 2
Find the equation of the line in point slope form

we have


substitute
---> equation in point slope form
step 3
Find the equation of the line in slope intercept form

----> convert to slope intercept form



Answer:

Step-by-step explanation:
The formula for point slope is: 
When:
m = slope
(x1,y1) = the point on the graph
-9 is the slope, so it replaces m. x1 is -1, and y1 is -3.
Plug in the values:
OR 